Cambridge is located in the county of Cambridgeshire, which is in the region of East Anglia. It is adjacent to the counties of Essex, Hertfordshire, Bedfordshire, Northamptonshire, Rutland, Lincolnshire, Norfolk, and Suffolk. There are many lovely places to explore nearby, presented, for example, in this guide. In particular, Ely (pronounced ‘eely’) is a short train ride away and well worth a visit; if you do, consider buying a ticket to climb the West Tower to check out the 800-year old wooden beams.
Long-term visitors would do well to invest in paid membership of National Trust or English Heritage, which allows free entry to castles, stately homes, wild areas, and protected seashores.